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Mathematics  Form 5  Chapter 7  Measures of Dispersion for Grouped Data


              (a) Time (minutes)
                   Masa (minit)       61 – 70   71 – 80    81 – 90   91 – 100  101 – 110  111 – 120  121 – 130
                   Frequency            7         11         18        23         17        12         8
                   Kekerapan

                     Time (minutes)      Frequency       Upper boundary           Cumulative frequency
                        Masa (minit)       Kekerapan        Sempadan atas            Kekerapan longgokan
                         51 – 60              0                 60.5                         0
                         61 – 70              7                 70.5                         7
                         71 – 80             11                 80.5                        18
                         81 – 90             18                 90.5                        36
                        91 – 100             23                100.5                        59
                        101 – 110            17                110.5                        76
                        111 – 120            12                120.5                        88
                        121 – 130             8                130.5                        96





                   Cumulative frequency
                   Kekerapan longgokan


                      100

                      90                                                           1
                                                                               (i)    × 96 = 24
                                                                                   4
                                                                                   From the ogive,
                      80
                                                                                   Daripada ogif,
                                                                                   Q 1  = 84.5 minutes / minit
                      70                                                           1
                                                                               (ii)    × 96 = 48
                                                                                   2
                      60                                                           From the ogive,
                                                                                   Daripada ogif,
                                                                                   Q 2  = 95.5 minutes / minit
                      50
                                                                               (iii)   3   × 96 = 72
                      40                                                           4
                                                                                   From the ogive,
                                                                                   Daripada ogif,
                      30                                                           Q 3  = 107.5 minutes / minit
                                                                                   60
                                                                               (iv)    × 96 = 57.6  58
                      20                                                           100
                                                                                   From the ogive,
                                                                                   Daripada ogif,
                      10
                                                                                   P 60  = 99.5 minutes / minit

                       0
                             60.5  70.5  80.5  90.5  100.5  110.5  120.5  130.5
                                             Time (minutes)
                                              Masa (minit)














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